This varies state by state. This is one of the more complicated aspects of being an American expat. You should research the specific policies of your last home state. There may be specific actions you must take, depending on your state, to be seen as no longer being a tax resident of that state, for example, turning in your driver's license. In some states, expats who stop paying state tax and later return to their old home state may face large back tax, penalty, and interest bills.
Post your comments and questions about this topic to the following RetireAway Discussion Forums:
Taxation for Retired Americans Living Overseas,
Money Matters,
or any other appropriate
RetireAway Discussion Forum.